Initial value problems for quad equations
Exactly Solvable and Integrable Systems
2012-10-05 v1 Combinatorics
Abstract
We describe a method to construct well-posed initial value problems for not necessarily integrable equations on not necessarily simply connected quad-graphs. Although the method does not always provide a well-posed initial value problem (not all quad-graphs admit well-posed initial value problems) it is effective in the class of rhombic embeddable quad-graphs.
Cite
@article{arxiv.1210.1414,
title = {Initial value problems for quad equations},
author = {Peter H. van der Kamp},
journal= {arXiv preprint arXiv:1210.1414},
year = {2012}
}
Comments
22 pages, 34 figures, submitted to Discrete & Computational Geometry